Finding the Fourth Proportional to 10,194.14, 14,067.89 and 5,945.37

Step by Step Solution

1. Step 1: Write the proportion equation
   10,194.14 : 14,067.89 = 5,945.37 : x
2. Step 2: Convert to fraction form
   10,194.14/14,067.89 = 5,945.37/x
3. Step 3: Cross multiply
   10,194.14x = 14,067.89 × 5,945.37
4. Step 4: Simplify right side
   10,194.14x = 83,638,781.44
5. Step 5: Solve for x
   x = 83,638,781.44/10,194.14
6. Step 6: Final answer
   x = 8,204.60